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Finding the Third Proportional to 706,006.50 and 1,546,786.50

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Solution

The third proportional to 706,006.50 and 1,546,786.50 is: 3,388,847.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,006.50 : 1,546,786.50 = 1,546,786.50 : x
  2. Step 2: Convert to fraction form
    706,006.50/1,546,786.50 = 1,546,786.50/x
  3. Step 3: Cross multiply
    706,006.50x = 1,546,786.50 × 1,546,786.50
  4. Step 4: Simplify right side
    706,006.50x = 2,392,548,476,582.25
  5. Step 5: Solve for x
    x = 2,392,548,476,582.25/706,006.50
  6. Step 6: Final answer
    x = 3,388,847.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.